Only build_android should write to the Gradle Cache (#45160)

Summary:
Pull Request resolved: https://github.com/facebook/react-native/pull/45160

This should optimize the Gradle cache, so that only `build_android` which
effectively builds everything Android related, should be allowed to write there.

More info on this strategy here:
https://github.com/gradle/actions/blob/main/docs/setup-gradle.md

Changelog:
[Internal] [Changed] - Only build_android should write to the Gradle Cache

Reviewed By: cipolleschi

Differential Revision: D59002323

fbshipit-source-id: 31b815747efdf93bfc7baf97799e287c8dcd7f02